Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_2\times C_4\)
Signature \([ 0; 2, 2, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_2\times C_4$
Group identifier: [8,2]
Signature: $[ 0; 2, 2, 4, 4 ]$
Conjugacy classes for this refined passport: 3, 3, 5, 6

The full automorphism group for this family is $C_2\times D_4$ with signature $[ 0; 2, 2, 2, 4 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E$
Corresponding character(s): 4, 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.8-2.0.2-2-4-4.5.1

  (1,3) (2,4) (5,7) (6,8)
  (1,3) (2,4) (5,7) (6,8)
  (1,5,2,6) (3,7,4,8)
  (1,6,2,5) (3,8,4,7)